A tool for hob peeling rotating workpieces having pre-machined teeth comprises a gear-wheel shaped main body and tooth-shaped cutting inserts (1.2) which at the end face in the region of the tip circle are disposed on the main body. Each cutting insert comprises at least one cutting tooth. The cutting tooth forms a cutting edge (6) which runs at least along one of the flanks of the cutting tooth, and a cutting face and a clearance face. The cutting face along the cutting edge is provided with a cutting face chamfer (7) which in relation to the cutting face (5.5) runs so as to be inclined by a chamfer angle. The chamfer angle varies along the cutting edge. Moreover, the cutting edge is rounded by a radius.